High Energy Physics - Theory

Title:
All Supersymmetric Solutions of N=2, D=4 Gauged Supergravity

Abstract: We classify all supersymmetric solutions of minimal gauged supergravity in
four dimensions. There are two classes of solutions that are distinguished by
the norm of the Killing vector constructed from the Killing spinor. If the
Killing vector is timelike, the solutions are determined by the geometry of a
two-dimensional base-manifold. When it is lightlike, the most general BPS
solution is given by an electrovac AdS travelling wave. This supersymmetric
configuration was previously unknown. Generically the solutions preserve one
quarter of the supersymmetry. Also in the timelike case we show that there
exist new BPS solutions, which are of Petrov type I, and are thus more general
than the previously known type D configurations. These geometries can be
uplifted to obtain new solutions of eleven-dimensional supergravity.